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Finding the Fourth Proportional to 14,926.50, 20,597.22 and 8,212.41

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Solution

The fourth proportional to 14,926.50, 20,597.22 and 8,212.41 is: 11,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,926.50 : 20,597.22 = 8,212.41 : x
  2. Step 2: Convert to fraction form
    14,926.50/20,597.22 = 8,212.41/x
  3. Step 3: Cross multiply
    14,926.50x = 20,597.22 × 8,212.41
  4. Step 4: Simplify right side
    14,926.50x = 169,152,815.50
  5. Step 5: Solve for x
    x = 169,152,815.50/14,926.50
  6. Step 6: Final answer
    x = 11,332.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.